Answer:
Step-by-step explanation:
Formulas:
C = 24.50d + 15.99
C = 27.50d + 3.99
The sum of two numbers is 67. The difference of the two numbers is 53. What are the two numbers?
Answer:
One number is 60 and the other is 7.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equation using substitution/eliminationStep-by-step explanation:
Step 1: Define
Identify and set up
Let x be one number and y be the other.
x + y = 67
x - y = 53
Step 2: Solve for x
Elimination
Combine two equations: 2x = 120[Division Property of Equality] Divide 2 on both sides: x = 60Step 3: Solve for y
Substitute in x [1st Equation]: 60 + y = 67[Subtraction Property of Equality] Subtract 50 on both sides: y = 7At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
If f(1)=4f(1)=4 and f(n)=f(n-1)^2+2f(n)=f(n−1)
2
+2 then find the value of f(3)f(3).
Answer:
f(3) = 326
Step-by-step explanation:
Given the function
f(n)=f(n-1)^2+2
If f(1) = 4
f(2) = f(1)^2 + 2
f(2) = 4^2 + 2
f(2) = 16 + 2
f(2) = 18
f(3) = f(2)^2 + 2
f(3) = 18^2 + 2
f(3) = 324 + 2
f(3) = 326
Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3
Answer:
y=6
Step-by-step explanation:
Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.
In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!
We now have equation:
[tex]y=0x+b[/tex]
Let us plug in the coordinate it passes through (2,6), to solve for b.
[tex]6=0*2+b\\6=b\\[/tex]
Now we have everything! Let us write the equation of the line now.
[tex]y=6[/tex]
I hope this helps! Let me know if you have any questions :)
The sum of two numbers is thirteen. Using x to represent the larger of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify.
Help PLSSS I will give brainlyest I suck at math this should be easy
Answer:
36
Step-by-step explanation:
Least Common Multiple of 9 and 12
Factor each into prime factor
9 = 3 * 3
12 = 2 * 2 * 3
LCM is the greatest number of different prime factors from each
LCM = 3 * 3 * 2 * 2
LCM = 36
Answer:
36 hotdogs
Step-by-step explanation:
36 ÷ 9 = 4
36 ÷ 12 = 3
Hope this helps!
-kiniwih426
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Help and explain pls and thankyouuu
Answer:
third one
Step-by-step explanation:
l 3q-2 l = 7
drop absolute value symbols and set up two equations
3q - 2 = 7 or 3q - 2 = -7
3q = 9 3q = -5
q = 3 q = [tex]\frac{-5}{3}[/tex]
Answer:
3q-2=7
The two will move other side of equal sign from - 2 to +2
3q=7+2
3q=9
/3 in both side
q=3
5th grade math. correct answer will be marked brainliest, answer the blank one!!
A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder catches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin〖(2θ)〗. Find the angle.
Answer:
The angle of projection is 36.86 degree.
Step-by-step explanation:
speed, u = 100 ft/ s
range, R = 300 ft
Use the formula of range
[tex]R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o[/tex]
plssssss help I rly need help asap
Look at the two 2s in this number:
Which of these statements is true? Choose all that apply.
A
The blue 2 on the left is 200 times the value of the orange 2 on the right.
B
The blue 2 on the left is 100 times the value of the orange 2 on the right.
C
The blue 2 on the left is 10 times the value of the orange 2 on the right.
D
The blue 2 on the left is equivalent to the orange 2 on the right.
E
The orange 2 on the right is 110\frac 1{10}
10
1
of the value of the blue 2 on the left.
A new update is available Refresh
Answer:
The blue 2 on the left is 10 times the value of the orange 2 on the right.
Step-by-step explanation:
An object has a mass of 630 kg and a volume of 7 m cube.
Find the density of the object in kg/m cube.
Step-by-step explanation:
Hey there!
According to the question;
Mass of an object (m) = 630 kg
Volume of an object (v) = 7m³
We know that;
[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]
or, density = (630/7) kg/m³
Therefore, density of the substance is 90kg/m².
Hope it helps!
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
225[tex]\pi[/tex]
or 706.86 rounded
Step-by-step explanation:
area of a circle is [tex]\pi r^{2}[/tex](r=radius)
[tex]\pi r^{2}[/tex]
[tex]\pi 15^{2}[/tex]
[tex]\pi 225[/tex]
=225[tex]\pi[/tex]
NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail
Answer: [tex]0.00005[/tex]
Step-by-step explanation:
Given
The probability that a certain component in a communication satellite fails is 0.005.
There is an independent backup system, and the probability that is fails is 0.01
The probability that both the system fails is given by
[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]
a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product g which is the most appropriate test
Answer and explanation:
Answer:
Two sample t test
Explanation:
The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.
Expand ( x - 1/x^2)^4
Answer:
We want to expand the expression:
[tex](x - \frac{1}{x^2} )^4[/tex]
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]
Now we can expand each one these two factors:
[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]
That can be simplified to
[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]
Now we can replace that in our original expression to get:
[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]
Now we can expand that last product, to get:
[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]
We can simplify that to:
[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]
That is the expanded expression.
Simon uses 2/3 cup of sugar to bake a cake. How many cups of sugar does he needs to bake 6 cakes?
Answer:
4
Step-by-step explanation:
2/3x6=4
true or false? like terms have the same variable and the same exponent.
what is the slope of the line passing through the points A(-2,-3) and B(6,4) ?
Answer:
Slope is the change in y over the change in x. Just subtract and simplify the fraction.
Step-by-step explanation:
(-3 - 4)
______
(-2 - 6)
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos B, tanB, and sin B. (Plz I need help)
Answer:
5/13, 12/5, 12/13
Step-by-step explanation:
cos = adj/hyp
tan = opp/adj
sin = opp/hyp
hyp = 13
adj = 5
opp = 12
Plug in.
cos = 5/13
tan = 12/5
sin = 12/13
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Answer:
A refund must be above $7,139 before it is audited.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7010, standard deviation = 43.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.
Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
3 standard deviations above the mean, so:
7010 + 3*43 = 7139.
A refund must be above $7,139 before it is audited.
Pls someone pls help me with this question pls
Answer:
12
Step-by-step explanation:
What's the cosine of 7
cosine(7 radians ) =
0.75390225434
What's X in the diagram??
========================================================
Explanation:
Angles EGD and BGF are vertical angles. Both are unknown and equal to x.
Notice how angle AGD is adjacent to angle CGD. These two angles form a straight angle (180 degrees) and angle CGD is a right angle. That must mean AGD is also a right angle.
Angles AGE and EGD must add to 90 degrees since AGD is 90
----------
(angleAGE)+(angleEGD) = (angle AGD)
(30) + (x) = 90
x = 90-30
x = 60
Find the difference.
(-ab+3a-3) - (3ab+2)
Answer:
3a-4ab-5
Step-by-step explanation:
(-ab+3a-3) - (3ab+2)
Distribute the minus sign
(-ab+3a-3) - 3ab-2
Combine like terms
3a-4ab-5
Answer:
[tex]-4ab+3a-5[/tex]
Step-by-step explanation:
Hi there!
[tex](-ab+3a-3) - (3ab+2)[/tex]
Open up the parentheses
[tex]-ab+3a-3- 3ab-2[/tex]
Combine like terms
[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]
I hope this helps!
Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
Find out more on Pyramid at: https://brainly.com/question/25823102
